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  2. Macaulay's method - Wikipedia

    en.wikipedia.org/wiki/Macaulay's_method

    Simply supported beam with a single eccentric concentrated load. An illustration of the Macaulay method considers a simply supported beam with a single eccentric concentrated load as shown in the adjacent figure. The first step is to find . The reactions at the supports A and C are determined from the balance of forces and moments as

  3. Direct stiffness method - Wikipedia

    en.wikipedia.org/wiki/Direct_stiffness_method

    It is a matrix method that makes use of the members' stiffness relations for computing member forces and displacements in structures. The direct stiffness method is the most common implementation of the finite element method (FEM). In applying the method, the system must be modeled as a set of simpler, idealized elements interconnected at the ...

  4. Symbolab - Wikipedia

    en.wikipedia.org/wiki/Symbolab

    Later, the ability to show all of the steps explaining the calculation were added. [6] The company's emphasis gradually drifted towards focusing on providing step-by-step solutions for mathematical problems at the secondary and post-secondary levels. Symbolab relies on machine learning algorithms for both the search and solution aspects of the ...

  5. Newmark-beta method - Wikipedia

    en.wikipedia.org/wiki/Newmark-beta_method

    The Newmark-beta method is a method of numerical integration used to solve certain differential equations.It is widely used in numerical evaluation of the dynamic response of structures and solids such as in finite element analysis to model dynamic systems.

  6. Direct integration of a beam - Wikipedia

    en.wikipedia.org/wiki/Direct_integration_of_a_beam

    Simply supported beam with a constant 10 kN per meter load over a 15m length. Take the beam shown at right supported by a fixed pin at the left and a roller at the right. There are no applied moments, the weight is a constant 10 kN, and - due to symmetry - each support applies a 75 kN vertical force to the beam. Taking x as the distance from ...

  7. Duhamel's integral - Wikipedia

    en.wikipedia.org/wiki/Duhamel's_integral

    Regarding the arbitrarily varying excitation p(t) as a superposition of a series of impulses: < ()then it is known from the linearity of system that the overall response can also be broken down into the superposition of a series of impulse-responses:

  8. Today’s NYT ‘Strands’ Hints, Spangram and Answers for ...

    www.aol.com/today-nyt-strands-hints-spangram...

    For every 3 non-theme words you find, you earn a hint. Hints show the letters of a theme word. If there is already an active hint on the board, a hint will show that word’s letter order.

  9. Blazed grating - Wikipedia

    en.wikipedia.org/wiki/Blazed_grating

    The beams are perpendicular to the step and therefore parallel to the step normal. Hence it holds in Littrow configuration = =. All other geometries yield anamorphic Littrow expansion or compression of the beam. Diffraction angles at the grating are not influenced by the step structure.

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